anonymous
  • anonymous
Find "k" given the consecutive arithmetic terms: a. 32, k, 3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@zepdrix heyy you busy rn?
zepdrix
  • zepdrix
Arithmetic means we're `adding or subtracting` something each time to get to the next term.
zepdrix
  • zepdrix
To get to k, we have to add some common difference to 32, ya? Let's call that value d.

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zepdrix
  • zepdrix
So we'll say that our k is equal to 32 plus some unknown number.\[\large\rm k=32+d\]
anonymous
  • anonymous
ok
zepdrix
  • zepdrix
How do we get to 3? Well we add d again, right?
anonymous
  • anonymous
yeah, but how do we find out what d is?
zepdrix
  • zepdrix
So to get from 32 to 3, we add this common difference twice.|dw:1450402954155:dw|
anonymous
  • anonymous
kk i gotcha
zepdrix
  • zepdrix
Therefore, this value 3 is equal to 32, with 2 d's added to it.
zepdrix
  • zepdrix
\[\large\rm 3=32+2d\]
zepdrix
  • zepdrix
Now that we've gotten the k out of our way for now, we can solve for d, ya? :)
anonymous
  • anonymous
ummm yeah i get it
anonymous
  • anonymous
so do we subtract 32 from 3?
zepdrix
  • zepdrix
Ya that seems like a good first step in solving for d.
anonymous
  • anonymous
ok so -29=2d
anonymous
  • anonymous
but are we gonna end up with a decimal?
zepdrix
  • zepdrix
Unfortunately ya :p
anonymous
  • anonymous
ok lol so then d= 14.5
anonymous
  • anonymous
do you subtract that from 32?
zepdrix
  • zepdrix
d=-14.5, ya?
anonymous
  • anonymous
oh right its negative
zepdrix
  • zepdrix
Yes, either subtract 14.5 from 32, or add -14.5 to 32 lol
anonymous
  • anonymous
lol my bad. so then the answer is 17.5, right?
zepdrix
  • zepdrix
Yes. Good job. Here is a good way to check your work also. Let's add -14.5 to it again, and see if it gets us to 3. 17.5 - 14.5 = 3. Yay.
anonymous
  • anonymous
ok thanks zep! if you don't mind me asking, how long are you gonna be online?
zepdrix
  • zepdrix
lol maybe an hour :) i dunno, maybe longer. I'm not an employee or anything so it's hard to say haha
anonymous
  • anonymous
ok cool just wondering cos I'm studying tonight ^-^
anonymous
  • anonymous
anyway ill cya again tonight probably!
zepdrix
  • zepdrix
noiceee :U keep study'n! I just finished up my last final on wednesday \c:/ finally get to relax a lil bit
anonymous
  • anonymous
ughh lucky i have my math final tomorrow :/ it's sl ib math so im honestly dead tbh
zepdrix
  • zepdrix
I dunno what SL IB is
anonymous
  • anonymous
its like...think of calc/precalc kinda. ok lol well im gonna get back to studying. cya~
zepdrix
  • zepdrix
XD

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